Correct Answer: 13 days
Explanation:
Suppose B takes x days to do the work.
Then, 10 : 13 :: 23 : x ⟹ x = | ❨ | 23 x 13 | ❩ | ⟹ x = | 299 | . |
10 | 10 |
A's 1 day's work = | 1 | ; |
23 |
B's 1 day's work = | 10 | . |
299 |
(A + B)'s 1 day's work = | ❨ | 1 | + | 10 | ❩ | = | 23 | = | 1 | . |
23 | 299 | 299 | 13 |
Therefore, A and B together can complete the work in 13 days.
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